{
  "id": "1701.04017",
  "version": "v1",
  "published": "2017-01-15T10:06:25.000Z",
  "updated": "2017-01-15T10:06:25.000Z",
  "title": "Tikhonov Theorem for Differential Equations with Singular Impulses",
  "authors": [
    "Marat Akhmet",
    "Sabahattin Çağ"
  ],
  "comment": "16 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "The paper considers impulsive systems with singularities. The main novelty of the present research is that impulses (impulsive functions) are singular. This is beside singularity of differential equations. The Lyapunov second method is applied to proof the main theorems. Illustrative examples with simulations are given to support the theoretical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-15T10:06:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "differential equations",
      "singular impulses",
      "tikhonov theorem",
      "lyapunov second method",
      "main theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}